1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allushta [10]
3 years ago
9

When 8 is added to 3times a certain number, the result is the same as adding 12 to twice the number. find the number​

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

The number is 4

Step-by-step explanation:

<u>Choose a variable for the number.</u>

let the number be "x"

<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).

"When 8 is added to"               8 +  

"3 times a certain number"       3x

"the result is the same as"         =

"adding 12 to"                            12 +

"twice the number"                   2x

Put the equation back together with each of the parts.

8 + 3x = 12 + 2x

<u>Now isolate "x"</u> to the left side to find the number.

8 + 3x - 2x = 12 + 2x - 2x       Subtract 2x from both sides

8 + x = 12                           "x" is only on the left side

8 - 8 + x = 12 - 8                Subtract 8 from both sides

x = 4                             Solved for the number

Therefore the number is 4.

You might be interested in
Find the sum of the series. ∞ 5(−1)nπ2n + 1 32n + 1(2n + 1)! n = 0
wlad13 [49]
Could you give the question more clear?
5 0
3 years ago
A salad dressing cars for three parts oil and one part vinegar Addy uses Tuesday but spoons of vinegar and 6 tablespoons of oil
Natasha2012 [34]

Answer:

The quantities used by Manuela were correct

Step-by-step explanation:

The question is

Did Manuela use the right quantities?

Let

x -----> the parts of oil

y ----> the parts of vinegar

we know that

The ratio of the parts of oil by the parts of vinegar of recipe is

Determine the relation used by Manuela

Compare with the recipe

Is true, the quantities are proportional

therefore

The quantities used by Manuela were correct

4 0
3 years ago
Solve for the value of z.
Yuki888 [10]

z=18

3z+4+2z-4+90=180

5z+4-4+90=180

5z+90=180

5z=90

z=18

4 0
3 years ago
Brainliest
Anna [14]

Answer:

B) A dilation followed by a reflection

3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.

dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.

<h2>Brainliest!!!!!!</h2>
8 0
3 years ago
The first three steps of completing the square to solve the quadratic equation x2 +4x-6=0
hodyreva [135]

Answer:


Step-by-step explanation:

1.  Move the 6 to the other side:   x^2 +4x                        =6

2.  Square half the coefficient of the x term:  (4/2)^2 = 4

3.  Add this 4, and then subtract this 4, from x^2 + 4x:

     x^2 +4x + 4 - 4                       =6

4.  Rewrite this perfect square as the square of a binomial:

      (x + 2)^2   -   4   = 6

5.  Add 4 to both sides:    (x + 2)^2 =  10

6.  Find the sqrt of both sides:  x + 2 = √

8 0
3 years ago
Other questions:
  • The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year
    11·2 answers
  • Solve the equation for t. -5(t-5)+9t=6t-4solve the equation for t. -5(t-5)+9t=6t-4
    6·1 answer
  • Find the area of a square with sides of length 6.5 inches
    13·1 answer
  • How many millimeters are in a piece of rope 3 meters long ?
    9·2 answers
  • The speed of light is about 300,000,000 meters per second.
    9·1 answer
  • Kimberly travels 420 miles in her car on 15 gallons of gas. What is her gas mileage?
    12·2 answers
  • William is reading a book for class. The book is 94 pages long. For the first assignment, William read 25 pages. For the second
    10·2 answers
  • Farrah is making a dragon costume for her little brother. It would have triangular spikes down the head and back each head spike
    9·1 answer
  • A symbol used to separate the ones and the tenths place is
    5·1 answer
  • How many blocks are needed for the 5th example?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!